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ANALYSIS OF AN EIGENVALUE PROBLEM ARISING IN A THERMAL WAVE PROPAGATION PROBLEM

Published online by Cambridge University Press:  15 September 2005

D. J. Needham  and
A. C. King
D. J. Needham
Affiliation:
Department of Mathematics, University of Reading, Whiteknights, PO Box 220, Reading RG6 6AX, UK (d.j.needham@reading.ac.uk)
A. C. King
Affiliation:
Department of Mathematics, University of Reading, Whiteknights, PO Box 220, Reading RG6 6AX, UK (d.j.needham@reading.ac.uk)
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Abstract

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In this paper we study a non-standard eigenvalue problem which arises in the context of a thermal wave propagation problem, and some generalizations thereof. The eigenvalue distribution is fully explored and useful bounds on the location of the eigenvalues are obtained.

Keywords

Primary 45C05eigenvalue problemthermal wave propagation
Type
Research Article
Information
Proceedings of the Edinburgh Mathematical Society , Volume 48 , Issue 3 , October 2005 , pp. 691 - 704
Copyright
Copyright © Edinburgh Mathematical Society 2005